Response to the following problem:
Three information sources X, Y , and Z are considered.
1. X is a binary discrete memory less source with p(X = 0) = 0.4. This source is to be reproduced at the receiving end with an error probability not exceeding 0.1.
2. Y is a memory less Gaussian source with mean 0 and variance 4. This source is to be reproduced with a squared-error distortion not exceeding 1.5.
3. Z is a memory less source and has a distribution given by
ƒz(Z) = {1/5 -2≤z≤0
{3/10 0 {0 otherwise
This source is quantized using a uniform quantizer with eight quantization levels to get the quantized source Zˆ . The quantized source is required to be transmitted with no errors. In each of the three cases, determine the absolute minimum rate required per source symbol (i.e., you can use systems of arbitrary complexity).